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Finding the Fourth Proportional to 1,822.50, 2,733.02 and 652.11

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Solution

The fourth proportional to 1,822.50, 2,733.02 and 652.11 is: 977.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,822.50 : 2,733.02 = 652.11 : x
  2. Step 2: Convert to fraction form
    1,822.50/2,733.02 = 652.11/x
  3. Step 3: Cross multiply
    1,822.50x = 2,733.02 × 652.11
  4. Step 4: Simplify right side
    1,822.50x = 1,782,212.75
  5. Step 5: Solve for x
    x = 1,782,212.75/1,822.50
  6. Step 6: Final answer
    x = 977.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.